Hello,
I’d say it all depends on what terminology you prefer, and what is required by the study, any applicable regulatory requirements, etc. For example, if you define the “effect” as a 50% reduction in cellular activity, then you can use EC50. If you use the terminology such as a 50% “inhibition” in cellular activity, then IC50 would be more appropriate. Likewise for enzyme activity. I don’t think you should mix the two within the same project, though. You should pick one or the other, and be specific when you use them, e.g., “EC50 (cellular activity)” and “EC50 (enzyme activity)”; or IC50 if you wish. And you could very well be right that a 50% reduction in enzyme activity does not correlate directly to a 50% reduction in cellular activity, but that’s a different subject than IC50-or-EC50.